Answer:
1/3
Step-by-step explanation:
Slope = ( y₂ - y₁ ) ÷ ( x₂ - x₁ )
y₂ = 9
y₁ = 7
x₂ = 4
x₁ = -2
y₂ - y₁ = 9 - 7 = 2
x₂ - x₁ = 4 - -2 = 6
2 ÷ 6 = 1/3
Answer: y=5x/2 - 2.5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2.5-2.5)/(0-2)
m=-5/(-2)
m=5/2
y=mx+b
y=5x/2 + b
-2.5=5(0)/2 + b
-2.5=0 + b
b=-2.5
y=5x/2 - 2.5
Answer: 
Step-by-step explanation:
<h3>
Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>
For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:

Where "B" and "b" are the bases of the trapezoid and "h" is the height.
So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.
Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.
Then, the following expression represents the number of people per square mile in that region:

Answer:
(a) 4.875 minutes
(b) 1.86 minutes
Step-by-step explanation:
The length of fence = 150 feet.
Rate of painting by Tyler = 11ft/min
Rate of painting by Benito = 15ft/min
(a) Let after time t minutes both have painted equal number of feet.
As Taylor has already painted 19.5 feet. So,



minutes.
(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.
So. time taken by Tylor to finish the painting
minutes.
Time taken by Benito to finish the painting
minutes
Here, tome taken by Benito is less, so Benoto finishes first.
Benoto will get the time to rest for 11.86-10=1.86 minutes.